Some notes on L^p Bernstein inequality when 0

2014/08/29 by Béla Nagy, Tamás Varga, Nagy, Béla +1
Mathematics · #41A17 #41A44 #Advanced Harmonic Analysis Research #Approximation Theory and Sequence Spaces #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Nonlinear Differential Equations Analysis

paper · pdf · doi:10.48550/arxiv.1408.7036

openalex publication_date 2014/08/29 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

Abstract

Recently, Nagy-Toókos and Totik-Varga proved an asymptotically sharp L^p Bernstein type inequality on union of finitely many intervals. We extend this inequality to the case when the power p is between 0 and 1; such sharp Bernstein type inequality was proved first by Arestov.

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